A Family of q-Ary Cyclic Codes with Optimal Parameters

Wenhua ZHANG; Shidong ZHANG; Yong WANG; Jianpeng WANG

doi:10.1587/transfun.2019EAL2126

IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

Online ISSN : 1745-1337
Print ISSN : 0916-8508

Regular Section

A Family of q-Ary Cyclic Codes with Optimal Parameters

Wenhua ZHANG, Shidong ZHANG, Yong WANG, Jianpeng WANG

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Keywords: linear code, cyclic code, Hamming distance, minimum distance, optimal code

JOURNAL RESTRICTED ACCESS

2020 Volume E103.A Issue 3 Pages 631-633

DOI https://doi.org/10.1587/transfun.2019EAL2126

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Abstract

The objective of this letter is to present a family of q-ary codes with parameters $[\frac{q^m-1}{q-1},\frac{q^m-1}{q-1}-2m,d]$, where m is a positive integer, q is a power of an odd prime and 4≤d≤5. The parameters are proved to be optimal or almost optimal with respect to an upper bound on linear codes.

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